Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of we Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant R.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer the following question(s):

Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west. 

Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction.

(a) Draw a diagram of the walk showing the resultant R.

**Graph Explanation:**

The graph is a coordinate plane with labeled axes: North (upward, +y), South (downward, -y), East (right, +x), and West (left, -x). There are three vectors depicted:

- **Vector A**: Shown as an arrow pointing from the origin towards the northwest quadrant, labeled as `A: 10 m, 90°`.
- **Vector B**: Positioned starting near the origin, pointing towards the north, labeled `B: 10 m, 90°`.
- **Resultant Vector R**: Positioned in the southwest quadrant, labeled `R: 10 m, 90°`.

A note accompanies the diagram:
1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum.
2. Show the vector sum R.
3. Your magnitudes must be within 2 m of the correct values, and the angles must be within ±5°.
Transcribed Image Text:Please answer the following question(s): Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant R. **Graph Explanation:** The graph is a coordinate plane with labeled axes: North (upward, +y), South (downward, -y), East (right, +x), and West (left, -x). There are three vectors depicted: - **Vector A**: Shown as an arrow pointing from the origin towards the northwest quadrant, labeled as `A: 10 m, 90°`. - **Vector B**: Positioned starting near the origin, pointing towards the north, labeled `B: 10 m, 90°`. - **Resultant Vector R**: Positioned in the southwest quadrant, labeled `R: 10 m, 90°`. A note accompanies the diagram: 1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum. 2. Show the vector sum R. 3. Your magnitudes must be within 2 m of the correct values, and the angles must be within ±5°.
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